| Signal Designs via Combinatorial Designs |
24 Feb 2012 |
9 pages |
| Authors:
K T Arasu; WRIGHT STATE UNIV DAYTON OH DEPT OF MATHEMATICS AND STATISTICS
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 | This report describes progress to date on designing signals using combinatorial designs. We shall regard signal design problems as The Correlation Problem . The Correlation Problem is to design sequences with specified lengths with entries chosen from a specified finite set so that all non-trivial periodic autocorrelations lie in a prescribed restrictive set. Mathematical tools from algebraic number theory, representation theory and group theory are employed to investigate the theory ... |
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| Mathematical Modeling, Simulation, and Control of Physical Processes |
2006 |
10 pages |
| Authors:
Thomas P. Svobodny; WRIGHT STATE UNIV DAYTON OH DEPT OF MATHEMATICS AND STATISTICS
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| This research program had as fundamental objectives: to develop a mathematical model of the physical processes attendant to material deposition, particularly pulsed laser deposition, including the ablation, plume dynamics, and film growth, with a focus on eventual automatic control of the process; to develop efficient ways of computing and simulating some of the physical processes of pulsed laser deposition, and to complement experimental results to understand the basic physics and ... |
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| Mathematical Modeling, Simulation, and Control of Physical Processes |
FEB 2002 |
28 pages |
| Authors:
Thomas P. Svobodny; WRIGHT STATE UNIV DAYTON OH DEPT OF MATHEMATICS AND STATISTICS
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| Concerning the ablation plume phenomenon, a computational model for the interaction of laser energy with solid matter was developed, as well as analytical and computational models for the plume hydrodynamics, including the chemical reactions. A first task was to understand which variables are the most important. There are approximately 20 input variables that can be varied during the process. Some of these are field parameters, other depend on time, while ... |
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| High Volume Communication Channels (A Mathematical Investigation) |
13 AUG 97 |
4 pages |
| Authors:
K. T. Arasu; WRIGHT STATE UNIV DAYTON OH DEPT OF MATHEMATICS AND STATISTICS
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| Time-discrete one and two-dimensional sequences and arrays with perfect autocorrelation functions are studied. Such sequences find applications in signal processing and as aperture functions for electromagnetic and acoustic imaging. Two dimensional perfect arrays are also applicable in 2-D synchronization and time-frequency coding. Mathematical tools from algebraic number theory, representation theory and group theory are employed to investigate the theory of their existence leading to new families of these arrays and ... |
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| Confounding in Regular, Single Replicate Factorial Experiments |
19 JUL 93 |
8 pages |
| Authors:
Dan Voss; WRIGHT STATE UNIV DAYTON OH DEPT OF MATHEMATICS AND STATISTICS
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| Substantial progress has been made over a four year period, with the conjecture having been proven in various special cases. However, a general proof of the conjecture has not been obtained, and progress during the last two reporting periods has been disappointing. Hence, no further support of this research has been requested. Progress made during the research period includes establishment of the following results. The strongest result known to date ... |
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| On Two Problems in Experimental Design and Estimation |
19 JUL 93 |
7 pages |
| Authors:
Daniel Voss; WRIGHT STATE UNIV DAYTON OH DEPT OF MATHEMATICS AND STATISTICS
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| Substantial progress has been made over the four year period, with the conjecture having been proven in various special cases. However, a general proof of the conjecture has not been obtained, and progress during the last two reporting periods has been disappointing. Hence, no further support of this research has been requested. |
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| Multivariable Linear Digital Control via State Space Output Matching |
JAN 1983 |
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| Authors:
David F. Miller; WRIGHT STATE UNIV DAYTON OH DEPT OF MATHEMATICS AND STATISTICS
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 | A direct state space approach to the digital control of multivariable linear systems is presented. Control is provided by minimizing the mean square error between controlled plant outputs and specified desired output trajectories at sampling instants. Linear equations for digital control inputs are solved in constant forward and feedback gain form. Numerical applications to problems in simple model following, digital redesign, and direct digital design are given. (Author) |
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| An Output Matching Approach to Multivariable Linear Digital Control |
30 NOV 1982 |
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| Authors:
David F. Miller; WRIGHT STATE UNIV DAYTON OH DEPT OF MATHEMATICS AND STATISTICS
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| A simple and direct state space approach to the digital control of multivariable linear system is discussed. Control is provided by minimizing the mean square error between controlled plant outputs and specified desired output trajectories at sampling instants. Systems of linear equations for digital control inputs result with solutions assuming a natural constant forward and feedback gain form. Optimal gains are determined using elementary results form linear systems theory and ... |
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